Analysis of Elasticity Solution of Bi-Direction Functionally Graded Piezoelectric Beam Subject to Voltage

2012 ◽  
Vol 166-169 ◽  
pp. 824-827 ◽  
Author(s):  
Y Z Yang
Keyword(s):  
Hamiltonian System ◽  
Exact Solutions ◽  
Material Properties ◽  
Functionally Graded ◽  
Symplectic Method ◽  
Elasticity Solution ◽  
Numerical Examples ◽  
Piezoelectric Beam ◽  
Functionally Graded Piezoelectric

This paper presents symplectic method for the derivation of exact solutions of functionally graded piezoelectric beam with the material properties varying exponentially both along the axial and transverse coordinates. In the approach, the related equations and formulas are developed in terms of dual equations, which can be solved by variables separation and symplectic expansion in Hamiltonian system. To verify advantages of the method, numerical examples of bi-directional functionally piezoelectric beam are discussed.

The Symplectic Solution for the Bi-Directional Functionally Graded Piezoelectric Materials

2012 ◽  
Vol 174-177 ◽  
pp. 131-134 ◽  
Author(s):  
Y Z Yang
Keyword(s):  
Material Properties ◽  
Piezoelectric Materials ◽  
Separation Of Variables ◽  
Functionally Graded ◽  
Symplectic Space ◽  
Variation Principle ◽  
Symplectic Method ◽  
Functionally Graded Piezoelectric Materials ◽  
Dual Variables ◽  
Functionally Graded Piezoelectric

The symplectic method is applied to study analytically the deflection field of bi-directional functionally graded piezoelectric materials in this paper. And the material properties varies exponentially both along the axial and transverse coordinates.The dual equations were presented by variation principle and introducing separation of variables used. Then in the symplectic space which consists of the original variables and their dual variables, the problem can be solved via symplectic expansion. This comparisons with experimental data were carried out to verify the validity of the symplectic method.

Static bending and dynamic analysis of functionally graded piezoelectric beam subjected to electromechanical loads

2016 ◽  
Vol 230 (19) ◽  
pp. 3457-3469 ◽  
Author(s):  
Vibhuti B Pandey ◽  
Sandeep K Parashar
Keyword(s):  
Piezoelectric Material ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Element Analysis ◽  
Functionally Graded Piezoelectric Material ◽  
Piezoelectric Beam ◽  
Effective Material Properties ◽  
Dimensional Finite Element ◽  
Electromechanical Loading ◽  
Functionally Graded Piezoelectric

This paper investigates the static bending and free vibration analysis of functionally graded piezoelectric material beam under electromechanical loading. The effective material properties of functionally graded piezoelectric material beam are assumed to vary continuously through the thickness direction and are graded according to sigmoid law distribution. Both multi-layered and monomorph models have been considered in the present work. A two-dimensional finite element analysis has been performed using COMSOL Multiphysics® (version 4.2) software. The accuracy of the method was validated by comparing the results with the previous published work. The results presented in the paper shall be useful in the design of functionally graded piezoelectric material beam.

Modified strain gradient theory for nonlinear vibration analysis of functionally graded piezoelectric doubly curved microshells

2021 ◽  
pp. 095440622110458
Author(s):  
Vahid Movahedfar ◽  
Mohammad M Kheirikhah ◽  
Younes Mohammadi ◽  
Farzad Ebrahimi
Keyword(s):  
Nonlinear Vibration ◽  
Material Properties ◽  
Vibration Analysis ◽  
Functionally Graded ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Modified Strain Gradient Theory ◽  
Scale Parameters ◽  
Functionally Graded Piezoelectric ◽  
Doubly Curved

Based on modified strain gradient theory, nonlinear vibration analysis of a functionally graded piezoelectric doubly curved microshell in thermal environment has been performed in this research. Three scale parameters have been included in the modeling of thin doubly curved microshell in order to capture micro-size effects. Graded material properties between the top and bottom surfaces of functionally graded piezoelectric doubly curved microshell have been considered via incorporating power-law model. It is also assumed that the microshell is exposed to a temperature field of uniform type and the material properties are temperature-dependent. By analytically solving the governing equations based on the harmonic balance method, the closed form of nonlinear vibration frequency has been achieved. Obtained results indicate the relevance of calculated frequencies to three scale parameters, material gradation, electrical voltage, curvature radius, and temperature changes.

scholarly journals The Analysis of Large Deformation of Beam by Functionally Graded Material (FGM) Under Uniform Transverse Loading

2018 ◽  
Vol 2 (1) ◽  
pp. 16-22
Author(s):  
Davood Hashempoor ◽  
Mohammadhassan ShojaeeFard
Keyword(s):  
Material Properties ◽  
Power Distribution ◽  
Total Potential Energy ◽  
Functionally Graded ◽  
Transverse Loading ◽  
Distribution Law ◽  
Poisson Coefficient ◽  
Numerical Examples ◽  
Total Potential ◽  
Graded Material

In this paper, we study the analysis of the large beam deformation (FGM) under the uniform transverse loading. The mechanical properties of the beam including the modulus of elasticity and the Poisson coefficient are a function of the thickness of the beam (The Power Distribution Law). Principle equations for the FG-beams are obtained using the Von-Carmen theory for large deformities. The results are obtained by minimizing the total potential energy and solving it. The numerical examples are presented for this method. In this paper, the effect of material properties on the stress basin is examined from a thickness perspective. It discusses the effects of nonlinear terms in strain-relational relations.

DYNAMIC CRACK PROPAGATION IN A FUNCTIONALLY GRADED PIEZOELECTRIC INTERFACE LAYER BETWEEN TWO DISSIMILAR PIEZOELECTRIC LAYERS UNDER ELECTROMECHANICAL LOADING

2012 ◽  
Vol 06 ◽  
pp. 55-60
Author(s):  
JEONG WOO SHIN ◽  
YOUNG-SHIN LEE
Keyword(s):  
Crack Propagation ◽  
Material Properties ◽  
Integral Transform ◽  
Interface Layer ◽  
Functionally Graded ◽  
Dynamic Crack Propagation ◽  
Dynamic Crack ◽  
Crack Plane ◽  
Piezoelectric Layers ◽  
Functionally Graded Piezoelectric

The dynamic propagation of a crack in a functionally graded piezoelectric material (FGPM) interface layer between two dissimilar piezoelectric layers under anti-plane shear is analyzed using the integral transform approaches. The properties of the FGPM layers vary continuously along the thickness. FGPM layer and the two homogeneous piezoelectric layers are connected weak-discontinuously. A constant velocity Yoffe-type moving crack is considered. Numerical values on the dynamic energy release rate (DERR) are presented for the FGPM. Followings are helpful to increase of the resistance of the crack propagation of the FGPM interface layer: (a) certain direction and magnitude of the electric loading; (b) increase of the thickness of the FGPM interface layer; (c) increase of the thickness of the homogeneous piezoelectric layer which has larger material properties than those of the crack plane in the FGPM interface layer. The DERR always increases with the increase of crack moving velocity and the gradient of the material properties.

Sign in / Sign up

Export Citation Format

Share Document